On the discrete spectrum of non-selfadjoint operators

Details On the discrete spectrum of non-selfadjoint operators On the discrete spectrum of non-selfadjoint operators

2009-08-15

arxiv.org/abs/0908.2188v1

Journal of Functional Analysis 257 (2009) 2742-2759

Mathematics

Spectral Theory

Scientific paper

We prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded
operators obtained from selfadjoint operators by a perturbation that is
relatively-Schatten. These bounds are applied to obtain new results on the
distribution of eigenvalues of Schroedinger operators with complex potentials.

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